PreprintCC BY 4.0arXiv
A reparametrization invariant nonabelian surface holonomy
Abstract
We introduce a nonabelian surface holonomy that is constructed from a one-form gauge potential that takes values in a loop algebra of the U(N) gauge group. The surface holonomy parallel transports a nonabelian string. Although it is not manifest in our formulation, we will see that our nonabelian surface holonomy is invariant under reparametrizations of the surface.
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BibTeX
@misc{bak2026reparametrization,
title = {{A reparametrization invariant nonabelian surface holonomy}},
author = {Dongsu Bak and Andreas Gustavsson},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.26853},
eprint = {2605.26853},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.26853},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A reparametrization invariant nonabelian surface holonomy
AU - Dongsu Bak
AU - Andreas Gustavsson
PY - 2026
DA - 2026/09/22
PB - arXiv
DO - 10.48550/arxiv.2605.26853
UR - https://arxiv.org/abs/2605.26853
AB - We introduce a nonabelian surface holonomy that is constructed from a one-form gauge potential that takes values in a loop algebra of the U(N) gauge group. The surface holonomy parallel transports a nonabelian string. Although it is not manifest in our formulation, we will see that our nonabelian surface holonomy is invariant under reparametrizations of the surface.
ER -